摘要
基于一元不可微函数,本文首先构造了一类二元分形函数,然后研究了这类函数图象的分形维数。给出了这类函数图的box维数、packing维数以及Hausdorff维数的若干结果。
Based on a univariate nowhere differentiable function, a class of bivariate fractal functions are constructed, and then the fractal dimensions of the graphs of these functions are investigated. Some results of the box, packing and Hausdorff dimensions of graphs of these functions are given.
出处
《工程数学学报》
CSCD
北大核心
2006年第2期343-349,共7页
Chinese Journal of Engineering Mathematics
基金
Major Foundation of Department of Education of Anhui(2003kj047zd).
关键词
6-进制小数
分形函数
分形维数
b-adic fraction
fractal function
fractal dimension
